Question

Jennifer bought 6 packages of hot dogs and 8 packages of rolls for $41.50. A package of rolls costs $0.85 less than a package of hot dogs. How much did each package of hot dogs cost?

Answer 1

Each package of hot dogs cost Jennifer $3.45. This was calculated by setting up a system of equations with the cost of hot dogs (x) and the cost of rolls (x - $0.85), then solving for x based on the total amount spent ($41.50) and the number of packages bought.

Step-by-step explanation:

To solve the problem of how much each package of hot dogs cost for Jennifer, we need to set up a system of equations based on the given information.

Let's denote the cost of one package of hot dogs as x dollars. According to the problem, a package of rolls costs x - $0.85. Jennifer bought 6 packages of hot dogs and 8 packages of rolls for a total of $41.50. The system of equations representing this situation is:

1. 6x (cost of hot dogs) + 8(x - $0.85) (cost of rolls) = $41.50

Solving the system of equations:

1. 6x + 8x - $6.80 = $41.50
2. 14x = $41.50 + $6.80
3. 14x = $48.30
4. x = $48.30 / 14
5. x = $3.45

Therefore, each package of hot dogs cost $3.45.